5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2
NO SOLUTIONS:
5 - 4 + 7x + 1 = 7x + a (a - any real number, except 2)
ONE SOLUTION:
5 - 4 + 7x + 1 = bx + c (b - any real number, except 7, c - any real number)
INFINITELY MANY SOLUTIONS:
5 - 4 + 7x + 1 = 7x + 2
Examples:
2x + 3 = 2x + 5 subtract 2x from both sides
3 = 5 FALSE (NO SOLUTIONS)
2x + 3 = x - 4 subtract x from both sides
x + 3 = -4 subtract 3 from both sides
x = -7 (ONE SOLUTION)
2x + 3 = 2x + 3 subtract 2x from both sides
3 = 3 TRUE (INFINITELY MANY SOLUTIONS)
